Non-Umbilical Quaternionic Contact Hypersurfaces in Hyper-Kahler Manifolds

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216224%3A14310%2F19%3A00113472" target="_blank" >RIV/00216224:14310/19:00113472 - isvavai.cz</a>
Result on the web
<a href="https://academic.oup.com/imrn/article-abstract/2019/18/5649/4656168?redirectedFrom=fulltext" target="_blank" >https://academic.oup.com/imrn/article-abstract/2019/18/5649/4656168?redirectedFrom=fulltext</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1093/imrn/rnx279" target="_blank" >10.1093/imrn/rnx279</a>

Result language
angličtina
Original language name
Non-Umbilical Quaternionic Contact Hypersurfaces in Hyper-Kahler Manifolds
Original language description
It is shown that any compact quaternionic contact (qc) hypersurfaces in a hyper-Kahler manifold which is not totally umbilical has an induced qc structure, locally qc homothetic to the standard 3-Sasakian sphere. In the non-compact case, it is proved that a seven-dimensional everywhere non-umbilical qc-hypersurface embedded in a hyper-Kahler manifold is qc-conformal to a qc-Einstein structure which is locally qc-equivalent to the 3-Sasakian sphere, the quaternionic Heisenberg group or the hyperboloid.
Czech name
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Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10101 - Pure mathematics

Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2019
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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